English

A counterexample to a conjecture of Akemann and Anderson

Operator Algebras 2007-05-23 v1 Functional Analysis Rings and Algebras

Abstract

Akemann and Anderson made a conjecture about ``paving'' projections in finite dimensional matrix algebras which, if true, would settle the well-known Kadison-Singer problem. We falsify their conjecture by an explicit seqence of counterexamples.

Keywords

Cite

@article{arxiv.math/0105183,
  title  = {A counterexample to a conjecture of Akemann and Anderson},
  author = {Nik Weaver},
  journal= {arXiv preprint arXiv:math/0105183},
  year   = {2007}
}

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